Kantorovich Version of Vector-Valued Shepard Operators
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
Abstract
In the present work, in order to approximate integrable vector-valued functions, we study the Kantorovich version of vector-valued Shepard operators. We also display some applications supporting our results by using parametric plots of a surface and a space curve. Finally, we also investigate how nonnegative regular (matrix) summability methods affect the approximation.
Description
Keywords
multivariate approximation, approximation of vector-valued functions, Shepard operators, Kantorovich operators, matrix summability methods, Cesaro summability, Neural-Network Operators, Interpolation, Convergence, multivariate approximation, Shepard operators, Cesàro summability, Neural-Network Operators, Interpolation, matrix summability methods, QA1-939, approximation of vector-valued functions, Kantorovich operators, Convergence, Mathematics, Cesaro summability
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Duman, O., Della Vecchia, B., & Erkus-Duman, E. (2024). Kantorovich Version of Vector-Valued Shepard Operators. Axioms, 13(3), 181.
WoS Q
Q2
Scopus Q
N/A

OpenCitations Citation Count
N/A
Source
Axioms
Volume
13
Issue
3
Start Page
181
End Page
Web of Science™ Citations
1
checked on Dec 15, 2025
Page Views
690
checked on Dec 15, 2025
Downloads
91
checked on Dec 15, 2025
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